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Finding the Fourth Proportional to 277.55, 415.71 and 200.67

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Solution

The fourth proportional to 277.55, 415.71 and 200.67 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 415.71 = 200.67 : x
  2. Step 2: Convert to fraction form
    277.55/415.71 = 200.67/x
  3. Step 3: Cross multiply
    277.55x = 415.71 × 200.67
  4. Step 4: Simplify right side
    277.55x = 83,420.53
  5. Step 5: Solve for x
    x = 83,420.53/277.55
  6. Step 6: Final answer
    x = 300.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.